Electrostatic field penetration through a slot on a conducting half-plane

In this study, electrostatic field penetration through a slot on a conducting half-plane is investigated based on the Mellin transform and mode matching. To formulate the field behavior by the slotted half-plane, a slotted conducting wedge with a line charge is considered as an analysis model. A fast convergent series solution is obtained through the application of eigenfunction expansion and residue calculus. Numerical computations of the electrostatic field are conducted to demonstrate the penetration characteristics for the slotted conducting half-plane in terms of the slot dimensions and the position of the line charge. The computed results are also compared with simulated results.